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Finding the Fourth Proportional to 753.76, 1,034.66 and 695.44

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Solution

The fourth proportional to 753.76, 1,034.66 and 695.44 is: 954.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.76 : 1,034.66 = 695.44 : x
  2. Step 2: Convert to fraction form
    753.76/1,034.66 = 695.44/x
  3. Step 3: Cross multiply
    753.76x = 1,034.66 × 695.44
  4. Step 4: Simplify right side
    753.76x = 719,543.95
  5. Step 5: Solve for x
    x = 719,543.95/753.76
  6. Step 6: Final answer
    x = 954.61

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.